Lower Bounds in Real Algebraic Geometry and Orientability of Real Toric Varieties

被引：0
|
作者：
Evgenia Soprunova
Frank Sottile
机构：
[1] Kent State University,Department of Mathematics
[2] Texas A&M University,Department of Mathematics
来源：
Discrete & Computational Geometry | 2013年 / 50卷
关键词：
Real toric variety; Polynomial system; Order polytope; 14M25; 57B20; 57S10; 14P99;
D O I：
暂无
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学科分类号：
摘要：
The real solutions to a system of sparse polynomial equations may be realized as a fiber of a projection map from a toric variety. When the toric variety is orientable, the degree of this map is a lower bound for the number of real solutions to the system of equations. We strengthen previous work by characterizing when the toric variety is orientable. This is based on work of Nakayama and Nishimura, who characterized the orientability of smooth real toric varieties.
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页码：509 / 519
页数：10
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